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Finding the Fourth Proportional to 420,299.32, 580,013.05 and 269,396.32

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Solution

The fourth proportional to 420,299.32, 580,013.05 and 269,396.32 is: 371,766.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,299.32 : 580,013.05 = 269,396.32 : x
  2. Step 2: Convert to fraction form
    420,299.32/580,013.05 = 269,396.32/x
  3. Step 3: Cross multiply
    420,299.32x = 580,013.05 × 269,396.32
  4. Step 4: Simplify right side
    420,299.32x = 156,253,381,221.98
  5. Step 5: Solve for x
    x = 156,253,381,221.98/420,299.32
  6. Step 6: Final answer
    x = 371,766.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.